Can a country withdraw from the EU or be thrown out?

A country can indeed leave the EU, but in principle this requires the consent of all Member States.

There is nothing in the current Treaty provisions on procedure for the withdrawal of a country, but Greenland set an example by leaving the EC in 1985.

A country cannot be expelled from the EU. On the other hand, it is possible for certain of a country’s rights in the EU, including voting rights in the Council, to be suspended. This can happen if a Member State has seriously and consistently violated the principles on which the EU is based: freedom, democracy, respect for human rights and fundamental freedoms and the principle of the rule of law, which means that the EU’s rules are applied and their observance is ensured.